The population of vatican city is 700. If it increase by 7.14% per annum (i.e. every year). Find the population of the Vatican city after one year.

Answer

To find the population of Vatican City after one year, given that it increases by 7.14% per annum, we can follow these steps:

### Step 1: Identify the initial population
The initial population of Vatican City is given as 700.

### Step 2: Calculate the increase in population
To find the increase in population due to the 7.14% increase, we can use the formula:
\[ \text{Increase} = \text{Initial Population} \times \left( \frac{\text{Percentage Increase}}{100} \right) \]

Substituting the values:
\[ \text{Increase} = 700 \times \left( \frac{7.14}{100} \right) \]

### Step 3: Perform the calculation
Calculating the increase:
\[ \text{Increase} = 700 \times 0.0714 = 50.98 \]

### Step 4: Calculate the new population
Now, we add the increase to the initial population to find the new population:
\[ \text{New Population} = \text{Initial Population} + \text{Increase} \]
\[ \text{New Population} = 700 + 50.98 = 750.98 \]

### Step 5: Round the population
Since population is usually expressed as a whole number, we round 750.98 to the nearest whole number:
\[ \text{New Population} \approx 751 \]

### Final Answer:
The population of Vatican City after one year is approximately **751**.

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